On stochastic decomposition in the GI/M/1 queue with single exponential vacation |
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| Authors: | Kyung C Chae Sang Min Lee |
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| Institution: | a Department of Industrial Engineering, KAIST, Daejeon 305-701, South Korea
b Department of Systems Management Engineering, Sungkyunkwan University, Suwon 440-746, South Korea |
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| Abstract: | We consider a GI/M/1 queueing system in which the server takes exactly one exponential vacation each time the system empties. We derive the PGF of the stationary queue length and the LST of the stationary FIFO sojourn time. We show that both the queue length and the sojourn time can be stochastically decomposed into meaningful quantities. |
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| Keywords: | Factorization Generalized vacations Queue lengths Waiting time |
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